Prime p₀= 2160505345093722857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2160502972167172993	0 16 24 78 106 154 198 208 276 286 330 378 406 460 468 484	-2372926549864
STPT(10)	2160504269186213537	0 2 30 32 72 74 114 116 144 146	-1075907509320
SPT(16)	2160504385151340101	0 18 56 86 102 132 146 168 200 222 236 266 282 312 350 368	-959942382756
SPT(16)	2160504556895701981	0 6 18 60 66 82 126 132 136 142 186 202 208 250 262 268	-788198020876
STPT(10)	2160505154306013209	0 2 30 32 60 62 90 92 120 122	-190787709648
SPT(16)	2160505165067175253	0 34 60 70 84 94 106 136 144 174 186 196 210 220 246 280	-180026547604
STPT(10)	2160505642891805849	0 2 48 50 90 92 132 134 180 182	297798082992
SPT(16)	2160505788081715609	0 10 54 112 178 184 210 220 252 262 288 294 360 418 462 472	442987992752
STPT(10)	2160505822045811321	0 2 6 8 48 50 90 92 96 98	476952088464
SPT(20)	2160506052491498053	0 6 18 70 94 96 118 124 144 196 198 250 270 276 298 300 324 376 388 394	707397775196
STPT(10)	2160506331107627021	0 2 30 32 78 80 126 128 156 158	986013904164